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Finding the Third Proportional to 277,480 and 598,153

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Solution

The third proportional to 277,480 and 598,153 is: 1,289,415.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,480 : 598,153 = 598,153 : x
  2. Step 2: Convert to fraction form
    277,480/598,153 = 598,153/x
  3. Step 3: Cross multiply
    277,480x = 598,153 × 598,153
  4. Step 4: Simplify right side
    277,480x = 357,787,011,409
  5. Step 5: Solve for x
    x = 357,787,011,409/277,480
  6. Step 6: Final answer
    x = 1,289,415.49

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.